Rigidity of optimal bases for signal spaces

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dc.contributor.authorGómez Castro, Davides-ES
dc.contributor.authorBrezis, Haimes-ES
dc.date.accessioned2018-10-02T07:35:39Z
dc.date.available2018-10-02T07:35:39Z
dc.date.issued27/07/2017es_ES
dc.descriptionArtículos en revistases_ES
dc.description.abstractWe discuss optimal L2-approximations of functions controlled in the H1-norm. We prove that the basis of eigenfunctions of the Laplace operator with Dirichlet boundary condition is the only orthonormal basis (bi ) of L2 that provides an optimal approximation in the sense of projections. This solves an open problem raised by Y. Aflalo, H. Brezis, A. Bruckstein, R. Kimmel, and N. Sochen (Best bases for signal spaces, C. R. Acad. Sci. Paris, Ser. I 354 (12) (2016) 1155 1167).es-ES
dc.description.abstractWe discuss optimal L2-approximations of functions controlled in the H1-norm. We prove that the basis of eigenfunctions of the Laplace operator with Dirichlet boundary condition is the only orthonormal basis (bi ) of L2 that provides an optimal approximation in the sense of projections. This solves an open problem raised by Y. Aflalo, H. Brezis, A. Bruckstein, R. Kimmel, and N. Sochen (Best bases for signal spaces, C. R. Acad. Sci. Paris, Ser. I 354 (12) (2016) 1155 1167).en-GB
dc.description.versioninfo:eu-repo/semantics/publishedVersiones_ES
dc.format.mimetypeapplication/pdfes_ES
dc.identifier.issn1631-073Xes_ES
dc.identifier.urihttp://hdl.handle.net/11531/32054
dc.keywordsoptimal basis, L2 projections, eigenfunctions, Laplace operatores-ES
dc.keywordsoptimal basis, L2 projections, eigenfunctions, Laplace operatoren-GB
dc.language.isoen-GBes_ES
dc.rightses_ES
dc.rights.accessRightsinfo:eu-repo/semantics/restrictedAccesses_ES
dc.rights.holderLa revista es de pagoes_ES
dc.rights.uries_ES
dc.sourceRevista: Comptes Rendus Mathematique, Periodo: 2, Volumen: 355, Número: 7, Página inicial: 780, Página final: 785es_ES
dc.titleRigidity of optimal bases for signal spaceses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES

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